What is the Greatest Common Factor of 62100 and 62108?

Greatest common factor (GCF) of 62100 and 62108 is 4.

GCF(62100,62108) = 4

We will now calculate the prime factors of 62100 and 62108, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62100 and 62108.

How to find the GCF of 62100 and 62108?

We will first find the prime factorization of 62100 and 62108. After we will calculate the factors of 62100 and 62108 and find the biggest common factor number .

Step-1: Prime Factorization of 62100

Prime factors of 62100 are 2, 3, 5, 23. Prime factorization of 62100 in exponential form is:

62100 = 2² × 3³ × 5² × 23¹

Step-2: Prime Factorization of 62108

Prime factors of 62108 are 2, 15527. Prime factorization of 62108 in exponential form is:

62108 = 2² × 15527¹

Step-3: Factors of 62100

List of positive integer factors of 62100 that divides 62100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 23, 25, 27, 30, 36, 45, 46, 50, 54, 60, 69, 75, 90, 92, 100, 108, 115, 135, 138, 150, 180, 207, 225, 230, 270, 276, 300, 345, 414, 450, 460, 540, 575, 621, 675, 690, 828, 900, 1035, 1150, 1242, 1350, 1380, 1725, 2070, 2300, 2484, 2700, 3105, 3450, 4140, 5175, 6210, 6900, 10350, 12420, 15525, 20700, 31050

Step-4: Factors of 62108

List of positive integer factors of 62108 that divides 62100 without a remainder.

1, 2, 4, 15527, 31054

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62100 and 62108. The biggest common factor number is the GCF number.
So the greatest common factor 62100 and 62108 is 4.

Also check out the Least Common Multiple of 62100 and 62108